Exam 18: Waiting Line Models

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If the number of customers you can serve per time period is more than the average number of customers arriving, the waiting line grows infinitely.

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Which of the following is not an assumption of the waiting line models presented in the textbook?

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List examples of dedicating specific servers for specific transactions.

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Most larger-scale waiting line systems use ________ simulation.

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For a single-server, single-line, single-phase waiting line system, where represents the mean arrival rate of customers and represents the mean service rate, what is the formula for the average time spent in the system?

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A single-line, multiple-server system has _____ ______ in terms of waiting times than the same system with a line for each server.

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Which of the following is least likely to be considered a finite customer population?

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The university replication facility provides copier repair service for the university and for local businesses. Over the last year the mean arrival rate is 55 copiers a month. The repair facility uses two identical repair technicians who can repair an average of 30 copiers each month. The system is set up as a single channel, first come first served, multi-server system. a)What is the utilization of the service center? b)What is the probability that no copiers will be in the system? c)What is the average number of copiers waiting in line? d) What is the average time a copier is waiting to be repaired? e) What is the average number of copiers in the system?

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What occurs when a customer decides not to enter the waiting line?

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System server capacity is a function of ______ and _______.

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Walking occurs when a customer decides not to enter the waiting line.

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Describe the relative benefits of using a single-line system vs. a multi-line system.

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4! = _________?

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Consider a single-line, single-server waiting line system. Suppose that there is only physical space for 2 units in the system (one in line and one being served). The arrival rate λ is 80 people per hour. The manager, Johnny Three Toes, has the choice among workers of different speeds to be the server. He wants to save money by hiring the slowest server that will result in an average number of units in the system (L)equal to 2. a)Using Johnny Three Toes' strategy, what will the server's service rate per hour ()need to be? b)What is the probability of having 3 or more units in the system? c)What is wrong with Johnny Three Toes' strategy?

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Which of the following is least likely to be considered a finite customer population?

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In a well designed waiting line system it is the variability in _____ and ______ patterns that causes waiting lines.

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0! = _________?

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Which of the following is not an assumption of the waiting line models presented in the textbook?

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Consider a single-line, single-server waiting line system. Suppose that customers arrive according to a Poisson distribution at an average rate of 50 per hour, and the average (exponentially distributed)service time is 45 seconds per customer. What is the average time spent in line (in minutes)?

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Customers typically consider a multiple-line service system to be fairer than a single-line service system.

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